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Finding the Third Proportional to 108,036 and 163,544.63

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Solution

The third proportional to 108,036 and 163,544.63 is: 247,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,036 : 163,544.63 = 163,544.63 : x
  2. Step 2: Convert to fraction form
    108,036/163,544.63 = 163,544.63/x
  3. Step 3: Cross multiply
    108,036x = 163,544.63 × 163,544.63
  4. Step 4: Simplify right side
    108,036x = 26,746,844,366.39
  5. Step 5: Solve for x
    x = 26,746,844,366.39/108,036
  6. Step 6: Final answer
    x = 247,573.44

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.